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A Completness Proof for Geometrical Logic  (Make Corrections)  
Thierry Coquand



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Abstract: Given a geometrical theory, we give a site model, defined as a forcing relation, which is complete for this theory. This model is what is called also the generic model of a geometric theory [2]. What is interesting is that this model can be defined without references to logic and the forcing conditions are simply finite sets of atomic formulae, contrary to the model construction in [2, 9]. This model is inspired from [4]. (Update)

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BibTeX entry:   (Update)

@misc{ coquand-completness,
  author = "Thierry Coquand",
  title = "A Completness Proof for Geometrical Logic",
  url = "citeseer.ist.psu.edu/620373.html" }
Citations (may not include all citations):
44   Automatic deduction with hyper-resolution (context) - Robinson - 1965
30   Mathematical logic (context) - Kleene - 1967
26   Cambridge Studies in Advanced Mathematics (context) - Johnstone, Spaces - 1982
5   Pure Appl (context) - Universal, via et al. - 1976
4   Oxford Logic Guides (context) - Toposes, theories et al. - 1988
3   Selected Works in Logic (context) - Skolem
3   Roy Dynamical methods in algebra: e ective Nullstellensatze (context) - Coste, Lombardi - 2001
2   Topoi and computation (context) - Blass - 1988
2   Model-theoretical methods in the theory of topoi and related.. (context) - Makkai, Reyes et al.
2   Constructive sheaf semantics (context) - Palmgren - 1997  DBLP
1   Algebraic proofs of cut elimination (context) - Avigad - 2001  DBLP
1   Intuitionistic algebra: some recent developments in topos th.. (context) - Wraith - 1978

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